Local discontinuous Galerkin method for a nonlocal viscous water wave model (Q6064932)

scientific article; zbMATH DE number 7763877

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English	Local discontinuous Galerkin method for a nonlocal viscous water wave model	scientific article; zbMATH DE number 7763877

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instance of

scholarly article

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title

Local discontinuous Galerkin method for a nonlocal viscous water wave model (English)

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zbMATH Open document ID

1528.76024

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DOI

10.1016/j.apnum.2023.07.007

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Applied Numerical Mathematics

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publication date

10 November 2023

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Mathematics Subject Classification ID

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nonlocal viscous water wave model

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LDG method

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$L1$ formula

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stability

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a priori error result

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2023.07.007

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OpenAlex ID

W4384161859

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cites work

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Decay of solutions to a water wave model with a nonlocal viscous dispersive term

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

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Q4924042

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Viscous potential free-surface flows in a fluid layer of finite depth

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Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation

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Efficient numerical schemes for fractional water wave models

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LDG schemes with second order implicit time discretization for a fractional sub-diffusion equation

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The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis

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L1/LDG method for the generalized time-fractional Burgers equation

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Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations

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High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation

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Local discontinuous Galerkin method based on a family of second-order time approximation schemes for fractional mobile/immobile convection-diffusion equations

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Local discontinuous Galerkin method combined with the $L2$ formula for the time fractional cable model

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Local discontinuous Galerkin methods for the $abcd$ nonlinear Boussinesq system

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A fully discrete difference scheme for a diffusion-wave system

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Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems

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Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time‐fractional KdV‐Burgers‐Kuramoto equation

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Q4463089

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Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations

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A Local Discontinuous Galerkin Method for KdV Type Equations

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A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

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Finite difference/spectral approximations to a water wave model with a nonlocal viscous term

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High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative

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Sitelinks

Mathematics(1 entry)

mardi Publication:6064932